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Weyl Spectrum of Upper Triangular Operator Matrices

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摘要 This paper is concerned with general n×n upper-triangular operator matrices with given diagonal entries.The characterizations of perturbations of their left(resp.right)Weyl spectrum and Weyl spectrum are given,based on the space decomposition technique.Moreover,some sufficient and necessary conditions are given under which the left(resp.right)Weyl spectrum and the Weyl spectrum of such operator matrix,respectively,coincide with the union of the left(resp.right)Weyl spectrum and the Weyl spectrum of its diagonal entries.
作者 Xiu Feng WU Jun Jie HUANG
机构地区 School of Mathematical Sciences School of Mathematical Sciences
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2020年第7期783-796,共14页 数学学报（英文版）
基金 Supported by National Natural Science Foundation of China(Grant Nos.11901323 and 11961052) Natural Science Foundation of Inner Mongolia of China(Grant No.2018BS01001) the Research Program of Sciences at Universities of Inner Mongolia Autonomous Region(Grant Nos.NJZZ18018) SPH-IMUN(Grant No.2017YJRC018)。
关键词 technique. DIAGONAL SPECTRUM
分类号 O177 [理学—基础数学] O151.21 [理学—基础数学]
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  • 9Taylor, A. E.: Theorems on ascent, descent, nullity and defect of linear operators. Math. Ann., 168, 18-49(1966).

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Acta Mathematica Sinica,English Series
2020年 第7期

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